|
| sasin.sa 3.3 12/19/90
|
| Description: The entry point sAsin computes the inverse sine of
| an input argument; sAsind does the same except for denormalized
| input.
|
| Input: Double-extended number X in location pointed to
| by address register a0.
|
| Output: The value arcsin(X) returned in floating-point register Fp0.
|
| Accuracy and Monotonicity: The returned result is within 3 ulps in
| 64 significant bit, i.e. within 0.5001 ulp to 53 bits if the
| result is subsequently rounded to double precision. The
| result is provably monotonic in double precision.
|
| Speed: The program sASIN takes approximately 310 cycles.
|
| Algorithm:
|
| ASIN
| 1. If |X| >= 1, go to 3.
|
| 2. (|X| < 1) Calculate asin(X) by
| z := sqrt( [1-X][1+X] )
| asin(X) = atan( x / z ).
| Exit.
|
| 3. If |X| > 1, go to 5.
|
| 4. (|X| = 1) sgn := sign(X), return asin(X) := sgn * Pi/2. Exit.
|
| 5. (|X| |
| Exit.
|
| Copyright (C) Motorola, Inc. 1990
| All Rights Reserved
|
| For details on the license for this file, please see the
| file, README, in this same directory.
|SASIN idnt 2,1 | Motorola 040 Floating Point Software Package
|xref t_operr
|xref t_frcinx
|xref t_extdnrm
|xref satan
.global sasind
sasind:
|--ASIN(X) = X FOR |sasin.sa 3.3 12/19/0
bra t_extdnrm
.global sasin
sasin:
fmovex (%java.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 1
movel (%a0), := sqrt 1]1X]java.lang.StringIndexOutOfBoundsException: Index 26 out of bounds for length 26
movew 4%),%
0,%0
mpil x3FFF8000d0. ),.9java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
java.lang.StringIndexOutOfBoundsException: Index 14 out of bounds for length 14
|section java.lang.StringIndexOutOfBoundsException: Index 11 out of bounds for length 11
-ASIN) (X/ ( (-)1+X )
0,%
java.lang.StringIndexOutOfBoundsException: Range [1, 0) out of bounds for length 0
%p2-fp2-(%)
f #x3F800000%fp2
faddx %fp0,%fp2 | ...1+X
0,%
asinbig
fp1 ...SQRT([1-X][1+X])
fdivx %fp1,%fp0 | ../SQRT([1-X][1+])
|-ASIN()=ATAN ( 1X(+)))
bsr satan
bra t_frcinx
asinbig:
fabsx %fp0 | ...|X|
fcmps #0x3F800000java.lang.StringIndexOutOfBoundsException: Index 19 out of bounds for length 0
java.lang.StringIndexOutOfBoundsException: Range [15, 14) out of bounds for length 41
|--|X| = 1, ASIN(X) = +- PI/2.
fmovex PIBY2
%)d0
#x80000000,d0 .. OFX
o 0,% .+1 SGL
andil#x80000000%d0 .SIGN
,FPCR d0,-%)
fmuls (%sp)+,%fp0
bra t_frcinx
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